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5343345535140 = 2232573721356377
BaseRepresentation
bin100110111000001100000…
…1101100110100010100100
3200220211002221022111002200
41031300120031212202210
51200021132424111030
615210410554534500
71061021040441204
oct115603015464244
920824087274080
105343345535140
111780111287978
127236ab737430
132c9b4c10b802
14146895526404
1593ed5461d60
hex4dc183668a4

5343345535140 has 144 divisors (see below), whose sum is σ = 16432746880368. Its totient is φ = 1405153308672.

The previous prime is 5343345535133. The next prime is 5343345535159. The reversal of 5343345535140 is 415355433435.

5343345535140 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 3 + 4 + 553 + 51 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 175107097764 + 5168238437376 = 418458^2 + 2273376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94750632 + ... + 94807008.

Almost surely, 25343345535140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343345535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216373440184).

5343345535140 is an abundant number, since it is smaller than the sum of its proper divisors (11089401345228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5343345535140 is a wasteful number, since it uses less digits than its factorization.

5343345535140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63678 (or 63673 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

The spelling of 5343345535140 in words is "five trillion, three hundred forty-three billion, three hundred forty-five million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 7213 13140 14426 21639 28852 36065 43278 56377 64917 72130 86556 108195 112754 129834 144260 169131 216390 225508 259668 281885 324585 338262 432780 507393 526549 563770 649170 676524 845655 1014786 1053098 1127540 1298340 1579647 1691310 2029572 2106196 2536965 2632745 3159294 3382620 4115521 4738941 5073930 5265490 6318588 7898235 8231042 9477882 10147860 10530980 12346563 15796470 16462084 18955764 20577605 23694705 24693126 31592940 37039689 41155210 47389410 49386252 61732815 74079378 82310420 94778820 123465630 148158756 185198445 246931260 370396890 406647301 740793780 813294602 1219941903 1626589204 2033236505 2439883806 3659825709 4066473010 4879767612 6099709515 7319651418 8132946020 12199419030 14639302836 18299128545 24398838060 29685252973 36598257090 59370505946 73196514180 89055758919 118741011892 148426264865 178111517838 267167276757 296852529730 356223035676 445278794595 534334553514 593705059460 890557589190 1068669107028 1335836383785 1781115178380 2671672767570 5343345535140